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Accumulation Point


An accumulation point of a set A in a metric space is a point that is the limit of a sequence of distinct points of A. It is also called a limit point. For some maps, periodic orbits give way to chaotic ones beyond a point known as the accumulation point.


See also

Bolzano-Weierstrass Theorem, Cantor's Intersection Theorem, Chaos, Fractional Part, Heine-Borel Theorem, Limit Point, Logistic Map, Mode Locking, Period Doubling, Pisot Number

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Cite this as:

Weisstein, Eric W. "Accumulation Point." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/AccumulationPoint.html

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